Microscopic Study of Nucleon-4He Scattering and Effective Nuclear Potentials

Abstract

1327The nucleon-'He scattering in a wide energy region is quantitatively investigated using single channel resonating group method with the realistic effective two-body nuclear potential which includes the central, tensor and spin-orbit parts. It is shown that the empirical phase shifts and the experimental data are very well reproduced over that energy range and the N-'He elastic scattering is quantitatively understood by means of the microscopic theory with the realistic effective potential. In the p-'He scattering at high energies, an imaginary potential (volume type, surface type and non-local terms) is introduced in relation to the reaction process to the d-'He channel. Phase shifts, differential cross sections, polarizations, total cross sections and reaction cross sections are calculated at many incident energies up to 85 MeV. It is clarified that the parity and energy dependences of the nucleon-'He interaction are important to reproduce various experimental data and the tensor part of the realistic nuclear potential is mainly concerned in such properties. The odd-state part of the realistic effective nuclear potential is well determined through the analysis of the low energy phenomena of the n-'He scattering. An equivalent local potential with the parity dependence between the nucleon and 'He is also constructed.

Four-body resonances of7B using the complex scaling method

“…The vector p i is the relative momentum between p and 4 He. The reduced mass μ is 4m/5 using a nucleon mass m. The 4 Hep interaction V αp is given by the microscopic KKNN potential [24,30] for the nuclear part, in which the tensor correlation of 4 He is renormalized on the basis of the resonating group method in 4 He + N scattering. For the Coulomb part, we use the folded Coulomb potential using the density of 4 He with a (0s) 4 For the wave function, 4 He is treated as a (0s) 4 configuration of a harmonic-oscillator wave function, whose length parameter is 1.4 fm to fit the charge radius of 4 He of 1.68 fm.…”

Comparative Study of Three-Body Models for Continuum States

“…In the present work, we use the Minnesota potential 34) as neutron+neutron interaction, and the α + n potential of Kanada et al 35) This potential involves central and spin-orbit components, and depends on parity. For = 0, it contains an unphysical bound state, corresponding to a Pauli forbidden state, and which is removed by using a supersymmetry transformation.…”

Photodisintegration cross section ofBe9up to 16 MeV in theα + α + nthree-body model

“…The interaction between the neutron and the ith α particle is given as V αn (ξ i ), where ξ i is the relative coordinate between them. We here employ the KKNN potential [16] for V αn . For the α-α interaction V αα we employ the same potential as used in Ref.…”